Existence of Solutions for Caputo-Type Fractional (p,q)-Difference Equations Under Robin Boundary Conditions
In this paper, we investigate the existence results of solutions for Caputo-type fractional (p,q)-difference equations. Using Banach’s fixed-point theorem, we obtain the existence and uniqueness results. Meanwhile, by applying Krasnoselskii’s fixed-point theorem and Leray-Schauder’s nonlinear alternative, we also obtain the existence results of non-trivial solutions. Finally, we provide examples to verify the correctness of the given results. Moreover, relevant applications are presented through specific examples.
Authors
- Hui Ma (ORCID: https://orcid.org/0000-0002-5272-8226)
- Hongyu Li (ORCID: https://orcid.org/0000-0003-0795-9188)
Institutions
- Shandong University of Science and Technology (CN)
Publication Details
- Journal
- Axioms
- Published
- 2025-04-21
- DOI
- https://doi.org/10.3390/axioms14040318
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Shandong Province